Dilations

Dilations

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Match

Match the terms with their definitions.

• Translation

• Rotation

• Reflection

• Dilation

A transformation that slides a figure.

A transformation that turns a figure around a point.

A transformation that flips a figure across a line.

A transformation that makes a scale copy

• A transformation that slides a figure.

• A transformation that turns a figure around a point.

• A transformation that flips a figure across a line.

• A transformation that makes a scale copy

Scale Factors

> 1 Enlargement

> 0 & < 1 Reduction

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

Multiple Choice

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

• True
• False

Similar Figures

Similar Figures

Multiple Choice

Two figures are congruent if they have the _______ shape and _______ size.

• Different, Same
• Same, Same
• Same, Different
• Different, Different

Multiple Choice

Two figures can be similar if they have the _______ shape but _______ size.

• Different, Same
• Same, Same
• Same, Different
• Different, Different

Multiple Choice

What symbol is used to show that two figures are similar?

• $$\sim$$

• ≅

• ≡

• =

Multiple Select

Similar figures have ...

• Congruent Angles

• Congruent Side Lengths

• Proportional Angles

• Proportional Side Lengths

Make sure to set up ratios with corresponding sides

Fill in the Blanks

Find x using the proportional relationships of similar figures.

Multiple Choice

Are these similar figures?

• Yes

• No

Multiple Choice

Are the two figures similar?

• Yes

• No

Multiple Choice

Are the two figures similar?

• Yes

• No

Drag and Drop

Finish the following similarity statement: Figure DEFGHI ∼ Figure ​

Placeholder

Drag these tiles and drop them in the correct blank above

DEFGHI

D'E'F'G'H'I'

ABCDEF

A'B'C'D'E'F'

Multiple Select

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

• Figure B

• Figure C

• Figure D

Set up a Proportion and Solve Like an Equation

To do a Dilation on the Coordinate Plane

Multiply by the scale factor!

Dilate the triangle by 3.

F(2, -2), G(2, 2), H(-1, -2)

To do a Dilation on the Coordinate Plane

Multiply by the scale factor!

Dilate the triangle by 3.

F(2, -2), G(2, 2), H(-1, -2)

F'(6, -6), G'(6, 6), H'(-3, -6)

Same Starting Point, Different Factor

Multiple Choice

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Graphing

The points of $$\Delta abc$$ is graphed. The figure is dilated with a scale factor of 2 and the center of dilation at the origin. Plot all the points of $$\Delta a'b'c'$$ after performing the dilation.

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Fill in the Blanks

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Multiple Choice

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

• 2
• 3
• 1/3
• 1/2

Same Starting Point, Different Factor

Multiple Select

Which statements are true about Dilations?

• They are rigid transformations

• They are non-rigid transformations

• They change the size of a shape (bigger or smaller)

• They change a shape

Multiple Choice

A figure has a point at (3, 4). When dilated by a factor of 2, the new image point is located where?

• (5, 6)

• (5, 8)

• (6, 8)

• (6, 6)

Fill in the Blanks

Dilate by a factor of 5.

A(2, 3), B(1, 4), C(4, 5)